In Surprising Generalizations, it is mentioned that Chinese remainder theorem and Lagrange interpolation are specific instances of the same thing, my question is what is their common generalisation/abstraction ?
Thank you
PS : Should there be a Generalisation tag ? to be used when one knows a specific concept and is looking for it's generalisation/more-abstract forms?
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$\begingroup$The connection between the two is explained in an old blog post of mine. The Wikipedia article has more details.
$\endgroup$ $\begingroup$i would say, Lagrange interpolation is the extension of the CRT for polynomials.This paper gives some examples and tries to answer the question about the connection. I think it's quite understandable.
Greetings
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